Finding the Fourth Proportional to 7,578,380,304.36, 10,457,633,910.36 and 4,406,339,178.36
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Solution
The fourth proportional to 7,578,380,304.36, 10,457,633,910.36 and 4,406,339,178.36 is: 6,080,439,376.43
Step by Step Solution
- Step 1: Write the proportion equation
7,578,380,304.36 : 10,457,633,910.36 = 4,406,339,178.36 : x - Step 2: Convert to fraction form
7,578,380,304.36/10,457,633,910.36 = 4,406,339,178.36/x - Step 3: Cross multiply
7,578,380,304.36x = 10,457,633,910.36 × 4,406,339,178.36 - Step 4: Simplify right side
7,578,380,304.36x = 46,079,882,012,165,357,568 - Step 5: Solve for x
x = 46,079,882,012,165,357,568/7,578,380,304.36 - Step 6: Final answer
x = 6,080,439,376.43
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.